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Finding the Fourth Proportional to 309,601.40, 464,402.10 and 309,601.40

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Solution

The fourth proportional to 309,601.40, 464,402.10 and 309,601.40 is: 464,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,601.40 : 464,402.10 = 309,601.40 : x
  2. Step 2: Convert to fraction form
    309,601.40/464,402.10 = 309,601.40/x
  3. Step 3: Cross multiply
    309,601.40x = 464,402.10 × 309,601.40
  4. Step 4: Simplify right side
    309,601.40x = 143,779,540,322.94
  5. Step 5: Solve for x
    x = 143,779,540,322.94/309,601.40
  6. Step 6: Final answer
    x = 464,402.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.